Happy Valentines Day my beloved Shayla!
As you know, I enjoy dabbling in all things visualization and math. I figured a delightful gift for you would be to create a little card telling how much I love you, utilizing some mathiness. I used one of my graphing programs (ggplot2) to generate the message shown below in two ways.
I also wanted to show you another heart I created to expressed my love.
These are the equations I used to make the letters and the hearts, with the exception of the I and O, which I created using graph code.
\(\LARGE y = \frac{1}{x}\)
\(\LARGE y=\lvert x\rvert\)
\(\LARGE x=-3\lvert sin(y)\rvert\)
\[\begin{align} &\LARGE x=4(3sin(\theta) - sin(3\theta))\\
&\LARGE y=13cos(\theta) - 5cos(2\theta) - cos(4\theta) \end{align}\]
\(\LARGE r(\theta) = 2-2sin\theta+sin\theta \frac{\sqrt{\lvert cos\theta \rvert}}{sin\theta + 1.4}\)
With love from your adoring husband,
David